If for the matrix `A ,\ A^3=I` , then `A^(-1)=`(a)`A^2` (b) `A^3` (c) `A` (d) none of these

Let f(x)=(1+x)/(1-x) . If A is matrix for which A^3=0 ,then f(A) is (a) I+A+A^2 (b) I+2A+2A^2 (c) I-A-A^2 (d) none of these

(2^3)^4 = (a) 2^4*3 (b) 2^3*4 (c) (2^4)^3 (d) none of these

If a : b=3:4, then 4a :3b= (a) 4:3 (b) 3:4 (c) 1:1 (d) None of these

A square matrix A is said to be orthogonal if A^T A=I If A is a square matrix of order n and k is a scalar, then |kA|=K^n |A| Also |A^T|=|A| and for any two square matrix A d B of same order \AB|=|A||B| On the basis of above information answer the following question: IF A is a 3xx3 orthogonal matrix such that |A|=1, then |A-I|= (A) 1 (B) -1 (C) 0 (D) none of these

If A is a non singular matrix of order 3 then |adj(adjA)| equals (A) |A|^4 (B) |A|^6 (C) |A|^3 (D) none of these

((-3)/2)^(-1) is equal to (a) 2/3 (b) 2/3 (c) 3/2 (d) none of these

If A is an orthogonal matrix then A^(-1) equals a. A^T b. A c. A^2 d. none of these

If A is an invertible matrix then det(A^-1) is equal to (A) 1 (B) 1/|A| (C) |A| (D) none of these

If A is an invertible matrix then det(A^-1) is equal to (A) 1 (B) 1/|A| (C) |A| (D) none of these

( 1+3+5+7+9+11 )^ (3/2) = (a)36 (b) 216 (c)256 (d) none of these